Problem 11.4 - Node Voltage Using Driving Point and Transfer Impedances
*
* NOTE: There is both a basic frequency domain solution and a special
* form of node voltage equation derived from the Cramer's rule
* solution described in the two parts below. Review textbook
* Section 11.3 for reference material on the challenge problem.
*
* 1. Determine phasor node voltage V(3). Write the time-domain
* expression for v3(t).
* In the program for this part, note that an added resistance is
* necessary to provide a dc path to ground from node 1.
*
* 2. CHALLENGE PROBLEM! Determine the input and transfer impedances
* at each of the three nodes, using three separate program runs.
* Using these impedances, verify that V(3)=Z31*I1+Z32*I2+Z33*I3
* gives the same answer as Part 1.
*
.OPT NOPAGE NOBIAS
I1 0 1 ; Complete the source specifications.
I2 3 2
I3 0 3
VAMP 4 0 AC 0
F1 0 3 VAMP .1
R1 2 3 10
R2 3 0 20
RS1 1 0 1E9
L1 2 4 1U
C1 1 2 100U
.AC LIN 1 ??????? ??????? ; Enter the .AC sweep frequency.
.PRINT AC VM(3) VP(3)
.END
Problem 11.4, Part 2. CHALLENGE PROBLEM! Driving Point Impedance Z33
*
* Reduce all independent sources to zero except the current source I3.
* Set I3=1 to determine driving point impedance Z33 directly from V(3).
*
.OPT NOPAGE NOBIAS
I1 0 1
I2 3 2
I3 0 3
VAMP 4 0 AC 0
F1 0 3 VAMP .1
R1 2 3 10
R2 3 0 20
RS1 1 0 1E9
L1 2 4 1U
C1 1 2 100U
.AC LIN 1 ??????? ???????
.PRINT AC VM(3) VP(3)
.END
Problem 11.4, Part 3. CHALLENGE PROBLEM! Complex Transfer Impedance Z32
*
* Reduce all independent sources to zero except the current source I2.
* Set I2=1 to determine transfer impedance Z32 directly from V(3).
*
.OPT NOPAGE NOBIAS
I1 0 1
I2 3 2
I3 0 3
VAMP 4 0 AC 0
F1 0 3 VAMP .1
R1 2 3 10
R2 3 0 20
RS1 1 0 1E9
L1 2 4 1U
C1 1 2 100U
.AC LIN 1 ??????? ???????
.PRINT AC VM(3) VP(3)
.END
Problem 11.4, Part 4. CHALLENGE PROBLEM! Complex Transfer Impedance Z31
*
* Reduce all independent sources to zero except the current source I1.
* Set I1=1 to determine the transfer impedance Z31 directly from V(3).
*
.OPT NOPAGE NOBIAS
I1 0 1
I2 3 2
I3 0 3
VAMP 4 0 AC 0
F1 0 3 VAMP .1
R1 2 3 10
R2 3 0 20
RS1 1 0 1E9
L1 2 4 1U
C1 1 2 100U
.AC LIN 1 ??????? ???????
.PRINT AC VM(3) VP(3)
.END